An enhanced six-functor formalism for diamonds and v-stacks

Daniel Gulotta; David Hansen; Jared Weinstein

An enhanced six-functor formalism for diamonds and v-stacks

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arxiv 2202.12467 v1 pith:5TZ24GI6 submitted 2022-02-25 math.AG math.NT

Daniel Gulotta , David Hansen , Jared Weinstein This is my paper · ORCID

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keywords diamondsformalismv-stacksarticlecategoricalclassdevelopedenhanced

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abstract

This article extends Scholze's six functor formalism for diamonds to a very general class of stacky morphisms between v-stacks, using $\infty$-categorical techniques developed by Liu-Zheng.

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A 6-functor formalism for solid quasi-coherent sheaves on the Fargues-Fontaine curve
math.AG 2024-12 accept novelty 7.0 of 10

A 6-functor formalism for Z_p-linear solid quasi-coherent sheaves on small v-stacks is constructed, yielding Poincare duality for pro-etale Q_p-cohomology.

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